Suppose b > a > 0.
Consider a sphere of radius b, and a circular cylinder of radius a, both centered at the origin. Consider the solid ring formed by all the points which are both inside the sphere and outside the cylinder. Imagine boring a hole with a cylindrical drill, and punching it all the way through.
(a) Find the height h of the ring. You should express h in terms of a and b. Please accompany with a labeled sketch.
(b) Find the volume of the ring, in terms of a and b.
(c) Express the volume in terms of the height h of the ring only.

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step-by-step explanation:

y=3x+4

step-by-step explanation:

given the points a(0,4) and b(-4, -8)

eqn of line ab: (y-4)/(x-0)=(-8-4)/(-4-0)

(y-4)/x=-12/-4=3

y=3x+4

hi there!

question 1 answer: p/q can be terminating when q = 5^m * 2^n

question 2 answer: -1 and -1

question 3 answer: -4

question 4 answer: 5/12

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answer: 5

step-by-step explanation:

since, the range is the difference between the lowest and highest values of the given sample space.

and, here the sample space = { 3, 1, 0, 4, 1, 4, 2, 3, 0, 5, 0, 1, 1, 2, 0, 4, 1,4, 4 ,2 ,3 ,2 ,0 ,1 ,4 }

here, the highest value of the given sample = 5

and, the lowest value = 0

therefore, the range of the sample space = 5 - 0 = 5